NHM Framework Unit Planning Year 4 Summer Term Unit/ Days Framework topic Objectives: children will be taught to… NHM Topic NHM Section 1 Place value, ordering and rounding Reading numbers from scales Read and write the vocabulary of estimation and approximation. Make and justify estimates up to about 250, and estimate a proportion. Round any positive integer less than 1000 to the nearest 10 or 100. Numbers to 10000 3 days Teaching File page Pupil Sheets Textbook page Home Activities MATERIALS PUPIL ACTIVITY SOFTWARE Starter Main Teaching Check-ups Topic Assessment 7-11, 69-76 Unit 2: Numbers to 10 000 Day 1 Tune-in TF 69-70 School bus Revising estimation of a number from its position on a 0-10 number line 1 Washing line TF 70-71 Estimating numbers on a 0-100 line 2 Juice bottles TF 71-72 Estimating proportions 10 9-10 Extension Textbook page Resource Sheets 3 1a, b Day 2 Specific Starter for Numbers to 10000 TF 7-11 Day 3 Specific Starter for Numbers to 10000 TF 7-11 3 Revising rounding TF 72-73 2-digit numbers to the nearest 10; 3-digit numbers to the nearest 100 5 Rounding to find approximate totals TF 74-75 19-25, 34 Day 4 Day 5 4 Rounding 3-digit numbers to the nearest 10 TF 73-74 Core Activities Support Textbook page 9 TF 76 Textbook page 10 TF 76 Textbook page 9 TF 76 Provide a sheet showing the same questions but with more divisions marked on each scale to enable easier estimation. On completion discuss with the pupils the questions in the book and how to make estimates without the divisions marked on. Extension Textbook page 9 TF 76 Provide a set of clear containers holding items such as pasta. Ask pupils to estimate the number of items in each. Discuss the methods they use to make their guesses. Textbook page 10 TF 76 For each question ask the pupils to first write down the ten or hundred number either side of the given number onto a blank number line. They must then mark in the halfway point and their number on the number line and use this to help them decide whether to round up or down. Textbook page 10 TF 76 Ask pupils to write down five multiples of ten between 100 and 1000. Under each number they must write down four numbers that can be rounded up or down to that number and one that cannot. Once NHM Year 4 Framework Unit Planning Estimating and rounding Pupil Activity TF 75 1 Pupil Sheet 10 Approximating Pupil Activity TF 75 1 Pupil Sheet 10 Approximating First list all the numbers involved in the questions and ask pupils to work together to round each one to the nearest 100. They must then use this information to complete the sheet. Pupil Activity TF 75 1 Pupil Sheet 10 Approximating Having made their approximations, ask the pupils to find the actual answer to each question using a method of their choice. Page 1 of 25 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 4 Summer Term Plenary Follow-up for Textbook page 9 TF 76 finished swap with a partner who has to identify the number that cannot be rounded in each case. Check-up 3 Discuss children’s work. Topic Assessment 1a, b Additional notes Extra Resources Review NHM Year 4 Framework Unit Planning Page 2 of 25 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 4 Summer Term Unit/ Days Framework topic Objectives: children will be taught to… NHM Topic NHM Section 2 Understanding + and – Mental calculation strategies (+ and -) Consolidate understanding of relationship between + and -. Partition into tens and units, adding the tens first. Continue to use the relationship between addition and subtraction. Use informal pencil and paper methods to support, record or explain additions/subtractions. Develop and refine written methods for: column addition and subtraction of two whole numbers less than 1000, and addition of more than two such numbers. Choose and use appropriate number operations and appropriate ways of calculating (mental, mental with jottings, pencil and paper) to solve problems. Check with the inverse operation. Check with an equivalent calculation. Addition to 1000 Written methods of addition Subtraction to 1000 Subtraction involving three-digit numbers, written procedures 5 days Pencil and paper procedures (+ and -) Making decisions and checking results Money and ‘real life’ problems Teaching File page Pupil Sheets Textbook page Home Activities MATERIALS 11-16, 108-114, 141-149 Starter Main Teaching Core Activities Support Check-ups Topic Assessment Day 1 Tune-in TF 108-109 In the right place Writing numbers in appropriate place value columns 1 Expanded recordings TF 109-110 Pupil Sheet 17 Expanded recording, most significant digits first Pupil Activity TF 110 Pupil Sheet 18 Expanded recording, least significant digits first Pupil Activity TF 110 Pupil Sheet 18 Expanded recording, least significant digits first Provide pupils with place value cards to make each question and support their calculations. NHM Year 4 Framework Unit Planning 17-21, 25-26 23-24 2a, b Extension Textbook page E3 Resource Sheets 26-31 Day 2 Specific Starter for Addition to 1000 TF 11-16 Day 3 Specific Starter for Addition to 1000 TF 11-16 Day 4 Specific Starter for Addition to 1000 TF 11-16 Day 5 Tune-in TF 141-142 Composition of numbers Revising numbers to 1000 2 Introducing a standard method TF 110-112 No bridging/bridging 10 3 Extending the standard method TF 112-113 Bridging 100 4 Consolidating the standard method TF 113 Bridging 10 and 100 1 Expanded recording, no exchange TF 142 Pupil Activities TF 112-113 1 Pupil Sheet 19 HTU + TU/HTU, no bridging/bridging 10 2 Pupil Sheet 20 Template Pupil Activities TF 112-113 1 Pupil Sheet 19 HTU + TU/HTU, no bridging/bridging 10 Pupil Activities TF 113 1 Pupil Sheet 21 HTU + TU/HTU, bridging 100 2 Pupil Sheet 20 Template Pupil Activity TF 113 1 Pupil Sheet 20 Template Pupil Activities TF 142 1 Pupil Sheet 25 Expanded recording, two-/three-digit numbers, no exchange Pupil Activities TF112- 113 2 Pupil Sheet 20 Template Provide further practice of bridging through 10. Pupil Activities TF 113 1 Pupil Sheet 21 HTU + TU/HTU, bridging 100 Page 3 of 25 Textbook pages 23-24 TF 114 Pupil Activities TF 142 1 Pupil Sheet 25 Work with the pupils as a group and partition each number in each question together before the pupils finish the sheet independently. Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 4 Summer Term Extension Pupil Activity TF 110 Give pairs of pupils a set of three-digit place value cards. Shuffle each set of cards and take it in turns to pick cards to make two three-digit numbers. Add them together and record using the expanded vertical method. Plenary Discuss children’s work. Pupil Activities TF 112-113 2 Pupil Sheet 20 Template Discuss children’s work. Pupil Activities TF 113 1 Pupil Sheet 21 HTU + TU/HTU, bridging 100 In pairs, ask pupils to think of two three-digit numbers and challenge their partner to add them together. For each correct answer score a point. Discuss children’s work. Extension Textbook page E3 Pupil Activities TF 142 2 Pupil Sheet 26 Template TF 118 Follow-up for Textbook pages 23-24 TF 114 Discuss children’s work. Topic Assessment 2a, b Additional notes Extra Resources Review NHM Year 4 Framework Unit Planning Page 4 of 25 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 4 Summer Term Unit/ Days Framework topic Objectives: children will be taught to… NHM Topic NHM Section 3 Understanding + and – Mental calculation strategies (+ and -) Pencil and paper procedures (+ and -) Consolidate understanding of relationship between + and -. Continue to use the relationship between addition and subtraction. Use informal pencil and paper methods to support, record or explain additions/subtractions. Develop and refine written methods for: column addition and subtraction of two whole numbers less than 1000. Choose and use appropriate number operations and appropriate ways of calculating (mental, mental with jottings, pencil and paper) to solve problems. Check with the inverse operation. Check with an equivalent calculation. Subtraction to 1000 5 days Making decisions and checking results Money and ‘real life’ problems Teaching File page Pupil Sheets Textbook page 17-20, 141-149 27-33 34-37 Home Activities MATERIALS Check-ups/ Topic Assessment Subtraction involving three-digit numbers, written procedures Extension Textbook page Resource Sheets 3a, b 26-31 Day 1 Tune-in TF 141-142 Composition of numbers Revising numbers to 1000 Day 2 Specific Starter for Subtraction to 1000 TF 17-20 Day 3 Specific Starter for Subtraction to 1000 TF 17-20 Day 4 Specific Starter for Subtraction to 1000 TF 17-20 Day 5 Specific Starter for Subtraction to 1000 TF 17-20 Main Teaching 2 Expanded recording TF 143 Exchanging a ten for units 3 Expanded recording TF 144 Exchanging a hundred for tens 4 Expanded recording TF 145 Exchanging ten for a hundred 5 A quicker way TF 145-146 Introducing a standard written method for subtraction 6 Vertical recording TF 146 Exchanging a ten for units 7 Vertical recording TF 147 Exchanging a hundred for tens 8 Vertical recording TF 147 Exchanging a ten and a hundred Core Activities Pupil Activities TF 143-144 1 Pupil Sheet 27 Expanded recording, two-/three-digit numbers, exchanging 10 1 Pupil Sheet 29 Expanded recording, two-/three-digit numbers, exchanging 100 Pupil Activity TF 145 1 Pupil Sheet 28 Template Pupil Activities TF 146-147 1 Pupil Sheet 32 Two-/three-digit numbers, exchanging 10 1 Pupil Sheet 33 Two-/three-digit numbers, exchanging 100 Pupil Activity TF 147 1 Pupil Sheet 31 Template Textbook page 34 TF 148 Pupil Activities TF 146 1 Pupil Sheet 30 Two-/three-digit numbers, no exchange 2 Pupil Sheet 31 Template Pupil Activities TF 143 1 Pupil Sheet 27 With the pupils as a group partition the numbers involved in each question before letting the pupils complete them independently. Pupil Activities TF 144 1 Pupil Sheet 29 Expanded recording, two-/three-digit numbers, exchanging 100 2 Pupil Sheet 28 Template Give further practise of exchanging Pupil Activities TF 146 1 Pupil Sheet 30 Two-/three-digit numbers, no exchange Give the pupils the same questions but ask them to continue solving them using the expanded method. Pupil Activities TF 146 1 Pupil Sheet 32 Two-/three-digit numbers, exchanging 10 If appropriate ask pupils to continue using an expanded method. Pupil Activities TF 147 1 Pupil Sheet 33 Two-/three-digit numbers, exchanging 100 If appropriate ask pupils to continue using an expanded method. Starter Support NHM Year 4 Framework Unit Planning Page 5 of 25 Textbook pages 35-37 TF 148 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 4 Summer Term a 10 or 100 if necessary before giving examples of doing both. Extension Pupil Activities TF 143-144 1 Pupil Sheet 27 1 Pupil Sheet Give the pupils some similar questions and ask them to discuss in pairs ways in which they could make the calculations quicker. Discuss their ideas as a group. Pupil Activity TF 145 1 Pupil Sheet 28 Template Give the pupils some similar questions and ask them to discuss in pairs ways in which they could make the calculations quicker, building on ideas from Day 1. Discuss their ideas as a group. Pupil Activities TF 146 1 Pupil Sheet 30 Two-/three-digit numbers, no exchange 2 Pupil Sheet 31 Template Ask pupils to time themselves to see how quickly they can complete Sheet 30. Can they beat their time on Sheet 31? Plenary Discuss children’s work. Follow-up for Textbook page 34 TF 149 Discuss children’s work. Pupil Activities TF 146 1 Pupil Sheet 32 Two-/three-digit numbers, exchanging 10 1 Pupil Sheet 33 Two-/three-digit numbers, exchanging 100 2 Pupil Sheet 31 Template Provide some questions where a 10 and 100 needs exchanging. Ask pupils to work in pairs to extend the method they have been using for these questions. Share ideas as a group. Discuss children’s work. Pupil Activity TF 147 1 Pupil Sheet 31 Template In pairs, pupils take it in turns to choose two three-digit numbers and challenge their partner to find the difference between them. Pupils score a point for each question they answer correctly. Follow-up for Textbook pages 35-37 TF 149 Topic Assessment 3a,b Additional notes Extra Resources Review NHM Year 4 Framework Unit Planning Page 6 of 25 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 4 Summer Term Unit/ Days Framework topic 4 5 days Measures, including problems Objectives: children will be taught to… NHM Topic NHM Section Use, read and write standard metric units (l, ml), including their abbreviations, and imperial units (pint). Know and use the relationships between familiar units of capacity. Know the equivalent of one half, one quarter, three quarters and one tenth of 1litre in ml. Suggest suitable units and measuring equipment to estimate or measure capacity. Record estimates and readings from scales to a suitable degree of accuracy. Measure Teaching File page Pupil Sheets Textbook page 2-5, 372-377 83-84 101-102 Home Activities Check-ups MATERIALS Capacity Extension Textbook page E20 Resource Sheets Day 1 Tune-in TF 372-373 Large and little Revising the litre, half-litre and millilitre relationships 1 The quarter litre TF 373-374 Day 2 Generic Starter TF 2-5 Day 3 Generic Starter TF 2-5 Day 4 Generic Starter TF 2-5 Day 5 Generic Starter TF 2-5 2 Party time TF 375-376 Litres and millilitres 3 Millilitre scales TF 376 Consolidate Teaching from Days 1-3 Consolidate Teaching from Days 1-3 Core Activities Textbook page 101 TF 377 Textbook page 102 TF 377 Pupil Activity TF 376 1 Pupil Sheet 83 Millilitres Pupil Sheet 84 Millilitres Provide pupils with some containers. Ask them to estimate the capacity of each to the nearest 10ml. They must then see how accurate their estimates were by measuring. Put a list of capacities on the board such as, ‘the amount of coke in a can’, ‘the amount of water in a watering can’. Ask pupils to suggest appropriate measurements for each. Discuss answers. Support Textbook page 101 TF 377 Provide the pupils with cards with the comparisons of q2 written on. Work with the pupils as a group and fill a measuring jug to the amount of each container. Decide which card matches the amount in the jug. Textbook page 102 TF 377 Provide the answers to the questions on cards and ask pupils to work in pairs to place the cards against the right questions. Pupil Activity TF 376 1 Pupil Sheet 83 Millilitres Pupil Sheet 84 Millilitres Pupil Activity TF 376 1 Pupil Sheet 84 Millilitres Extension Textbook page 101 TF 377 Ask pupils to use four containers not already used in q1. They must estimate to the nearest 50ml the Textbook page 102 TF 377 Provide pupils with some containers with a capacity of 500ml or less. Ask them to first estimate Pupil Activity TF 376 1 Pupil Sheet 83 Millilitres Pupil Sheet 84 Millilitres Working in pairs the children stick a strip of masking tape down the side of an empty container. They then measure 100ml of water and pour it into the container. Pupils must then mark on the tape ‘100ml’ alongside the water level. They continue, marking 100ml intervals up to 1l. Ask pupils to use litre jugs to measure out 1l of water and then other materials such as pasta or rice. They must then estimate how Starter Main Teaching NHM Year 4 Framework Unit Planning Page 7 of 25 Extension Textbook page E20 TF 378 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 4 Summer Term Plenary capacity of each container and then measure to see how accurate they were. then measure how many times each container could be filled up from a litre jug. Follow-up for Textbook page 101 TF 377 Follow-up for Textbook page 102 TF 377 Discuss children’s work. much each material will weigh. They then check their estimates and put the litres of materials in order from lightest to heaviest. Discuss children’s work. Discuss children’s work. Additional notes Extra Resources Review NHM Year 4 Framework Unit Planning Page 8 of 25 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 4 Summer Term Unit/ Days Framework topic Objectives: children will be taught to… NHM Topic NHM Section 5 Shape and space Sketch the reflection of a simple shape in a mirror line parallel to one side (all sides parallel or perpendicular to the mirror line). 2D Shape 3 days Reasoning about shapes Teaching File page Pupil Sheets Textbook page 2-5, 405-408 87 110-111 Home Activities Check-ups MATERIALS Starter Main Teaching Day 1 Tune-in TF 405 Is it symmetrical? 1 Symmetrical designs Day 2 Generic Starter TF 2-5 Day 3 Generic Starter TF 2-5 2 Symmetrical patterns TF 406-407 Consolidate Teaching from Day 2 Day 4 Line symmetry Extension Textbook page Resource Sheets Day 5 TF 405-406 Consolidating line symmetry Core Activities Textbook page 110 TF 408 Pupil Activities TF 407 1 Pupil Sheet 87 Line symmetry 2 Making symmetrical patterns Textbook page 111 TF 408 Support Textbook page 110 TF 408 Give pupils mirrors to use to help them decide on their answers. Pupil Activities TF 407 1 Pupil Sheet 87 Line symmetry Textbook page 111 TF 408 Provide a sheet with the first part of the patterns already drawn on. Allow pupils to use mirrors to help them complete them. Extension Textbook page 110 TF 408 Ask pupils to draw their own Pupil Activities TF 407 2 Making symmetrical patterns Textbook page 111 TF 408 Provide pupils with reference NHM Year 4 Framework Unit Planning Page 9 of 25 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 4 Summer Term designs similar to those in q3 that have 1/2/3 lines of symmetry. Plenary Follow-up for Textbook page 110 TF 408 Look at children’s designs. books showing symmetrical patterns from art or other cultures, e.g. Rangoli patterns or Islamic art. Ask pupils to pick one they like and try to recreate it. Follow-up for Textbook page 111 TF 408 Additional notes Extra Resources Review NHM Year 4 Framework Unit Planning Page 10 of 25 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 4 Summer Term Unit/ Days Framework topic 6 5 days Shape and space Reasoning about shapes Objectives: children will be taught to… NHM Topic NHM Section Recognise positions and directions: for example, describe and find the position of a point on a grid of squares where the lines are numbered. Recognise simple examples of horizontal and vertical lines. Use the eight compass directions N, S, E, W, NE, NW, SE, SW. Make and measure clockwise and anti-clockwise turns: for example, from SW to N, or from 4 to 10 on a clock face. Begin to know that angles are measured in degrees and that: one whole turn is 360° or 4 right angles; a quarter turn is 90° or one right angle; half a right angle is 45°. Start to order a set of angles less than 180°. 2D Shape Teaching File page Pupil Sheets Textbook page 2-5, 409-418 88-89 112-117 Home Activities Check-ups MATERIALS Starter Main Teaching Day 1 Tune-in TF 409 Revising grid references 1 Rock pool TF 410 Extending grid references Position, movement and angle Extension Textbook page Resource Sheets 15-18 Day 2 Generic Starter TF 2-5 Day 3 Generic Starter TF 2-5 Day 4 Generic Starter TF 2-5 Day 5 Generic Starter TF 2-5 2 Star chart TF 411 Introducing co-ordinates 3 Which direction? TF 412 Introducing the 8-point compass 4 Your Turn TF 414-415 Clockwise and anti-clockwise turns 6 Comparing and ordering angles TF 416-417 5 Time turns TF 415 Turns on a clock Core Activities Pupil Activity TF 410 1 Pupil Sheet 88 Grid references Textbook page 113 TF 417 Textbook pages 114-115 TF 417-418 Textbook pages 116-117 TF 418 Pupil Activity TF 417 1 Pupil Sheet 89 Comparing/ordering angles Textbook page 113 TF 417 Write the answers to the questions on card and ask the pupils to work in pairs to match the coordinates to the colours and vice-versa. Textbook pages 114-115 TF 417-418 Provide pupils with enlarged versions of the diagrams and toy people to position and move to help answer the questions. Textbook pages 116-117 TF 418 Provide pupils with enlarged versions of the diagrams and toy people to position and move to help answer the questions. Textbook page 113 TF 417 Textbook pages 114-115 Textbook pages 116-117 TF 418 Pupil Activity TF 417 1 Pupil Sheet 89 Comparing/ordering angles Provide pupils with the angles on the sheet cut out of card. Remind pupils how they can be fitted over each other to help answer the questions. Pupil Activity TF 417 Textbook page 112 TF 417 Support Pupil Activity TF 410 1 Pupil Sheet 88 Grid references Draw a large grid on the board and work with the pupils as a group. Invite individuals up to point to each square by tracing the lines with their fingers to get to the right position. Pupil Activity TF 410 Extension NHM Year 4 Framework Unit Planning Page 11 of 25 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 4 Summer Term Plenary 1 Pupil Sheet 88 Grid references Ask pupils to make up their own age for a turtle and write down the coordinates needed to find it. Swap with a partner to solve. Ask pupils to draw their own grid of coloured dots and invent similar questions for a partner to solve. TF 417-418 Ask pupils to draw their own maps containing treasure. They must then provide a set of instructions for a partner to locate the treasure. Ask pupils to make up their own words using the letters on the wheel and then give directions to write each word starting from C each time. Discuss children’s work. Follow-up for Textbook page 113 TF 418 Follow-up for Textbook pages 114-115 TF 418 Follow-up for Textbook pages 416-417 TF 418 1 Pupil Sheet 89 Comparing/ordering angles Ask pupils to draw ten angles on a sheet of paper. Swap with a partner who must order them from smallest to largest. Discuss children’s work. Additional notes Extra Resources Review NHM Year 4 Framework Unit Planning Page 12 of 25 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 4 Summer Term Unit/ Days Framework topic 8 5 days Properties of numbers Reasoning about numbers Objectives: children will be taught to… NHM Topic NHM Section Recognise and extend number sequences formed by counting from any number in steps of constant size, extending beyond zero when counting back: for example, count on in steps of 25 to 500, and then back to, say, -100. Recognise odd and even numbers up to 1000, and some of their properties, including the outcome of sums or differences of pairs of odd/even numbers. Recognise multiples of 2, 3, 4, 5 and 10, up to the tenth multiple. Recognise negative numbers in context. Make and investigate a general statement about familiar numbers or shapes by finding examples that satisfy it. Numbers to 10000 The sequence to 10000 Number properties Number properties Use all four operations to solve word problems involving numbers in 'real life', money and measures (including time), using one or more steps, including converting pounds to pence and metres to centimetres and vice versa. Money Using mental strategies Topic Assessment Extension Textbook page Money and ‘real life’ problems Teaching File page Pupil Sheets Textbook page Home Activities MATERIALS TOOLBOX Starter Main Teaching 26-27, 40-46, 242-250, 312-321 NC, Shortcut 1 NG, Shortcut 1 Day 1 Generic Starter TF 2-5 Put a general statement on the board, such as ‘if you add three consecutive numbers, the sum is three times the NHM Year 4 Framework Unit Planning 55-56 63-6 Day 2 Tune-in TF 242-243 Revising addition of two multiples of 10p, bridging £1 1 Market stall TF 243-242 Finding the total cost of items priced in multiples of 10p, with 23-24 Check-ups/ Resource Sheets 20 6 43 Day 3 Specific Starter for Money TF 26-27 Day 4 Specific Starter for Money TF 26-27 Day 5 Specific Starter for Money TF 26-27 2 Finding the total cost of items priced in multiples of 5p, 1p 3 Change from £20 TF 247 4 Money Magic TF 248 Using and applying with the four operations TF 245-246 Page 13 of 25 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 4 Summer Term Core Activities Support Extension Plenary middle number’. Discuss with pupils how they might test this statement. Ask pupils to work in pairs to come up with examples which match the statement. Put their examples on the board and discuss them. Put a mixture of true and false statements on the board and ask pupils to work in pairs to find examples that prove/disprove them. bridging Pupil Activities TF 245 1 Money multiplication 2 Adding multiple amounts Textbook page 63 TF 249 Pupil Activities TF 246 1 Connection cards Pupil Sheet 96 2 Finding total costs Textbook page 64 TF 249 Pupil Activities TF 247 1 Change from £20 practical work 2 Pupil Sheet 55 Change from £20 Textbook page 65 TF 249 Textbook page 66 Put a mixture of true and false statements on the board and ask pupils to work in pairs to find examples that prove/disprove them. Work with the pupils as a group and find two examples for each statement together before asking pupils to work independently to find more. Put a mixture of true and false statements on the board and ask pupils to work in pairs to find examples that prove/disprove them. Ask pupils to think of their own statements and swap with partners to prove/disprove. Pupil Activities TF 245 2 Adding multiple amounts Pupil Activities TF 246 1 Connection cards Pupil Sheet 96 Pupil Activities TF 247 1 Change from £20 practical work First ask the pupils to lay out the notes and coins that could be used to pay the exact price for each CD. Textbook page 66 Provide the pupils with coins and notes to enable them to answer the questions practically. Pupil Activities TF 245 1 Money multiplication Provide a die labelled 3,4,5,6,7,8 2 Adding multiple amounts Use the die from activity 1 and roll to find out how many of each card picked to buy then find a grand total. Pupil Activities TF 246 2 Finding total costs Ask pupils to select three or four items and find the total cost. Given four items ask them to find all the combinations there are of buying 2 then three items from the selection. Pupil Activities TF 247 2 Pupil Sheet 55 Change from £20 3 Pupil Sheet 56 Change template Ask pupils to put their own prices on the blank sheet and swap with a partner to solve. Discuss children’s work. Follow-up for Textbook page 63 TF 250 Follow-up for Textbook page 64 TF 250 Follow-up for Textbook page 65 TF 250 Textbook page 66 Provide pupils with pictures of items that the shop sold labelled with their price. Tell them they had £10 to spend and they must decide on the items they would like to buy and what the total cost would be. Repeat allowing them £20 spending money. Follow-up for Textbook page 66 TF 250 Home Activity 23 Check-up 20 Home Activity 24 Topic Assessment 6 Additional notes Extra Resources Review NHM Year 4 Framework Unit Planning Page 14 of 25 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 4 Summer Term Unit/ Days Framework topic Objectives: children will be taught to… NHM Topic NHM Section 9 Understanding and Extend understanding of the operations of × and ÷, and their relationship to each other and to + and -. Understand the principles (not the names) of the commutative, associative and distributive laws as they apply to multiplication. Use doubling or halving, starting from known facts. Partition (e.g. 23 × 4 = (20 × 4) + (3 × 4)). Use the relationship between multiplication and division. Approximate first. Use informal pencil and paper methods to support, record or explain multiplications and divisions. Choose and use appropriate number operations and appropriate ways of calculating (mental, mental with jottings, pencil and paper) to solve problems. Check with the inverse operation. Multiplication Written methods of multiplication Division Linking multiplication and division 5 days Mental calculation strategies ( and ) Pencil and paper procedures ( and ) Money and ‘real life’ problems Making decisions and checking results Teaching File page Pupil Sheets Textbook page Home Activities MATERIALS TOOLBOX PUPIL ACTIVITY SOFTWARE Check-ups Topic Assessment 20-25, 177-186, 212-221 MF, Shortcut 1 Unit 9: Division 40-42, 51 48 4a, b Extension Textbook page E4 Resource Sheets Day 1 Tune-in TF 177-178 Tens and units Revising mental multiplication of a two-digit number by 2, 3, 4 or 5 using a partitioning strategy 1 Cross method TF 178-179 Introducing an informal written method of multiplication Day 2 Specific Starter for Multiplication TF 20-22 Day 3 Specific Starter for Multiplication TF 20-22 Day 4 Tune-in TF 212-213 Doubling and halving Revising multiplication and division by 2 Day 5 Specific Starter for Multiplication or Division TF 20-25 2 Vertical recording TF 179-181 Introducing an expanded vertical recording for multiplication 3 Towards a standard written method TF 181-183 Adapting the expanded recording and introducing a standard method of recording 1 Halves TF 213-214 Halving even numbers to 100 and multiples of 10 to 200 2 More halves TF 214-216 Doubling a multiple of 10 to 500 and a multiple of 100 to 5000 and halving an even multiple of 10 to 1000 and an even multiple of 100 to 10000 Core Activities Pupil Activity TF 179 1 Pupil Sheet 40 Two-digit number by 2, 3, 4 or 5 Pupil Activity TF 181 1 Pupil Sheet 41 Two-digit number by 2, 3, 4 or 5, expanded recording (most significant digit first) Pupil Activity TF 183 1 Pupil Sheet 42 Two-digit number by 2, 3, 4 or 5, standard recording Textbook page 48 TF 183 Pupil Activity TF 214 1 Four in a row game Pupil Activity TF 216 1 Pupil Sheet 51 Linking multiplication and division Support Pupil Activity TF 179 1 Pupil Sheet 40 Two-digit number by 2, 3, 4 or 5 Pupil Activity TF 181 1 Pupil Sheet 41 Two-digit number by 2, 3, 4 or 5, expanded recording Pupil Activity TF 183 1 Pupil Sheet 42 Two-digit number by 2, 3, 4 or 5, standard recording Pupil Activity TF 214 1 Four in a row game Provide cards with multiples of 5 Provide pairs of pupils with a set of even number cards to 100. Ask them to take it in turns to pick a card, Starter Main Teaching NHM Year 4 Framework Unit Planning Page 15 of 25 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 4 Summer Term Extension Plenary Work with the pupils as a group first to partition the numbers involved in each question and place them correctly on the grid. (most significant digit first) Allow pupils to carry on using the cross method of recording if necessary. Pupil Activity TF 179 1 Pupil Sheet 40 Two-digit number by 2, 3, 4 or 5 Ask pupils to work in pairs and take it in turns to challenge each other to multiply a two-digit number by a single digit number using the ‘cross’ method. Pupil Activity TF 181 1 Pupil Sheet 41 Two-digit number by 2, 3, 4 or 5, expanded recording (most significant digit first) Pupil Activity TF 183 1 Pupil Sheet 42 Two-digit number by 2, 3, 4 or 5, standard recording Discuss children’s work. Discuss children’s work. Allow pupils to carry on using the cross method or expanded method of recording if necessary. Extension Textbook page E4 TF 186 Follow-up for Textbook page 48 TF 184 less than 50 and a corresponding ‘half of’ call card. Pupil Activity TF 214 1 Four in a row game Include multiples of 10 to 1000 and 100 to 10 000 on the cards and provide corresponding call cards. Discuss children’s work. halve the number on it and record their answer. Discuss the strategies they used and then do some of the questions on Pupil Sheet 51 as a group orally. Pupil Activity TF 216 1 Pupil Sheet 51 Linking multiplication and division Ask pupils to pick a three- or fourdigit even number. Ask them to halve the number again and again until they reach an odd number. Which starting number can they find which gives the longest chain? Discuss children’s work. Topic Assessment 4a, b Additional notes Extra Resources Review NHM Year 4 Framework Unit Planning Page 16 of 25 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 4 Summer Term Unit/ Days Framework topic Objectives: children will be taught to… NHM Topic NHM Section 10 Understanding and Division Linking multiplication and division 5 days Mental calculation strategies ( and ) Extend understanding of the operations of × and ÷, and their relationship to each other and to + and -. Use the relationship between multiplication and division. Use known number facts and place value to multiply and divide integers, including by 10 and then 100 (whole-number answers). Approximate first. Use informal pencil and paper methods to support, record or explain multiplications and divisions. Choose and use appropriate number operations and appropriate ways of calculating (mental, mental with jottings, pencil and paper) to solve problems. Check with the inverse operation. Estimate and check by approximating (round to nearest 10 or 100). Dividing two-digit numbers; remainders Pencil and paper procedures ( and ) Money and ‘real life’ problems Making decisions and checking results Teaching File page Pupil Sheets Textbook page Home Activities MATERIALS TOOLBOX 23-25, 212-228 MF, Shortcut 1 52 56-60 Starter Day 1 Specific Starter for Division TF 23-25 Day 2 Specific Starter for Division TF 23-25 Main Teaching 3 Squares TF 216-217 Linking multiplication and division 4 Bolts and nails TF 218-219 Linking multiplication and division involving 10 and 100 Further Teaching TF 219-220 Core Activities Check-ups/ Topic Assessment Textbook page 56 TF 220 1 Multiplying and dividing by 10 and 100 Investigating digit shift patterns Textbook page 57 TF 221 5a, b Day 3 Tune-in TF 222 Multiplying and dividing Revising mental multiplication and division by 2-10 1 Division of two-digit numbers beyond the tables TF 223 Using an informal written method Extension Textbook page E5-E7 Resource Sheets Day 4 Specific Starter for Division TF 23-25 Day 5 Specific Starter for Division TF 23-25 3 Remainders TF 224-225 Introducing remainders beyond the tables 4 Dealing with remainders TF 225-226 Rounding answers; pounds Textbook page 59 TF 227 Textbook page 60 TF 227 2 Division of two-digit numbers beyond the tables TF 223-224 Introducing a standard written method Pupil Activity TF 223 1 Division of two-digit numbers TF 224 1 Pupil Sheet 52 Two-digit numbers, recording Textbook page 58 TF 227 NHM Year 4 Framework Unit Planning 19-25 Page 17 of 25 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 4 Summer Term Support Extension Plenary Textbook page 56 TF 220 For each question, provide the pupils with cards showing the numbers involved and the operations x, ÷ and =. For example, 42, 6, 7, x, ÷ and =. Ask them to work in pairs and arrange the cards to make true statements. Textbook page 57 TF 221 Provide similar questions which involve the multiplication of twodigit multiples of ten by 10 and division of three-digit multiples of a hundred by 100. Pupil Activity TF 223 1 Division of two-digit numbers Textbook page 56 TF 220 Ask pupils to come up with four sets of three connected numbers like those in q4 and swap with a partner to write numbers stories using them. Textbook page 57 TF 221 Provide further questions which involve questions such as 230 x 10 and 8400 ÷ 100. Pupil Activity TF 223 1 Division of two-digit numbers Follow-up for Textbook page 56 TF 221 Follow-up for Textbook page 57 TF 221 TF 224 Allow pupils to use informal recording when answering the questions on the textbook page. Textbook page 59 TF 227 Read through the questions with the pupils as a group and decide on the calculations that need doing for each one. Allow pupils to use informal methods to find their answers. Textbook page 60 TF 227 Read through the questions with the pupils as a group and decide on the calculations that need doing for each one. Allow pupils to use informal methods to find their answers. Textbook page 59 TF 227 Textbook page 60 TF 227 Extension Textbook pages E5-E7 TF 231-232 Follow-up for Textbook page 59 TF 228 Follow-up for Textbook page 60 TF 228 TF 224 1 Pupil Sheet 52 Two-digit numbers, recording Provide questions which involve dividing three-digit numbers by a single-digit number. Follow-up for Textbook page 58 TF 228 Further Teaching TF 226-227 1 Checking division Finding approximate answers Topic Assessment 5a, b Additional notes Extra Resources Review NHM Year 4 Framework Unit Planning Page 18 of 25 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 4 Summer Term Unit/ Days Framework topic 11 5 days Fractions and decimals Teaching File page Objectives: children will be taught to… NHM Topic NHM Section Use fraction notation. Recognise simple fractions that are several parts of a whole, such as 2/3 or 5/8, and mixed numbers, such as 53/4; recognise the equivalence of simple fractions (e.g. fractions equivalent to 1/2, 1/4 or 3/4). Identify two simple fractions with a total of 1 (e.g. 3/10 and 7/10). Order simple fractions: for example, decide whether fractions such as 3/8 or 7/10 are greater or less than one half. Begin to relate fractions to division and find simple fractions such as 1/2, 1/3, 1/4, 1/5, 1 /10 of numbers or quantities. Find fractions such as 2/3, 3/4, 3/5, 7/10 ... of shapes. Fractions Pupil Sheets Textbook page Home Activities MATERIALS PUPIL ACTIVITY SOFTWARE Check-ups/ Topic Assessment 28-29, 264-272 Unit 12: Fractions 60-62 69 22 7 Sixths and eighths, equivalent fractions Extension Textbook page E8-E10 Resource Sheets 44-49, 51-52 Day 1 Tune-in TF 264-265 Revising halves, quarters, tenths, thirds and fifths Day 2 Specific Starter for Fractions TF 28-29 Day 3 Specific Starter for Fractions TF 28-29 Day 4 Specific Starter for Fractions TF 28-29 Main Teaching 1 Introducing sixths TF 265 2 Introducing eighths TF 266 Consolidate teaching on Days 1-2 3 Equal fractions TF 266-268 Introducing equivalence Core Activities Pupil Activity TF 266 1 Pupil Sheet 60 Sixths Pupil Activity TF 266 1 Pupil Sheet 61 Eighths Provide pupils with multilink of different colours. Ask them to construct shapes where, for example, ‘one sixth is yellow’. Pupil Activities TF 268 1 Fraction pieces 2 Pupil Sheet 62 Equivalence Textbook page 69 TF 269 Support Pupil Activity TF 266 1 Pupil Sheet 60 Sixths Draw large versions of the shapes on the board and with the pupils as a group invite individuals to shade the required fraction. Provide further examples to attempt independently. Pupil Activity TF 266 1 Pupil Sheet 60 Sixths Pupil Activity TF 266 1 Pupil Sheet 61 Eighths Draw large versions of the shapes on the board and with the pupils as a group invite individuals to shade the required fraction. Provide further examples to attempt independently. Pupil Activity TF 266 1 Pupil Sheet 61 Eighths Provide shapes made out of different coloured multilink and ask questions such as ‘what fraction is green?’. Focus on halves, quarters, thirds, sixths and eighths. Pupil Activities TF 268 1 Fraction pieces Textbook page 69 TF 269 Provide cards showing the fractions involved in each question and some = signs. Ask them to arrange the cards to show the equivalent fractions depicted in each question, e.g. ½ = 5/10 Extension Textbook pages E8-E9 TF 271 Pupil Activities TF 268 1 Fraction pieces Extension Textbook page E10 TF 271 Starter Extension NHM Year 4 Framework Unit Planning Page 19 of 25 Day 5 Specific Starter for Fractions TF 28-29 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 4 Summer Term Plenary Provide pupils with pictures of shapes sectioned into 12 or 18 equal parts and ask them to shade a certain number of sixths. Discuss children’s work. Provide pupils with pictures of shapes sectioned into 16 or 24 equal parts and ask them to shade a certain number of eighths. Discuss children’s work. 2 Pupil Sheet 62 Equivalence Textbook page 69 TF 269 Discuss children’s work. Check-up 22 Follow-up for Textbook page 69 TF 269 Topic Assessment 7 Additional notes Extra Resources Review NHM Year 4 Framework Unit Planning Page 20 of 25 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 4 Summer Term Unit/ Days Framework topic Objectives: children will be taught to… NHM Topic NHM Section 12 Understanding + and – Consolidate understanding of relationship between + and -. Understand the principles (not the names) of the commutative and associative laws as they apply or not to addition and subtraction. Find a small difference by counting up (e.g. 5003 - 4996). Count on or back in repeated steps of 1, 10 or 100. Identify near doubles, using known doubles (e.g. 150 + 160). Continue to use the relationship between addition and subtraction. Use known number facts and place value to add or subtract mentally, including any pair of two-digit whole numbers. Use informal pencil and paper methods to support, record or explain additions/subtractions. Choose and use appropriate number operations and appropriate ways of calculating (mental, mental with jottings, pencil and paper) to solve problems. Addition and Subtraction to 10000 Addition to 10000: mental strategies Subtraction to 10000: mental strategies 5 days Mental calculation strategies (+ and -) Pencil and paper procedures (+ and -) Making decisions Teaching File page Pupil Sheets Textbook page Home Activities MATERIALS PUPIL ACTIVITY SOFTWARE Starter Main Teaching Core Activities Check-ups/ Topic Assessment 31-34, 290-308 Units 15, 16: Addition and subtraction to 10 000 Day 1 Tune-in TF 290-291 Used cars Revising mental addition of multiples of 100, without bridging a multiple of 1000 1 More used car bargains TF 291-292 Adding multiples of 100, bridging a multiple of 1000 Textbook page 74 TF 297 65-68 74-79 9a, b Extension Textbook page E12-E14 Resource Sheets Day 2 Specific Starter for Addition and Subtraction to 10000 TF 31-34 Day 3 Specific Starter for Addition and Subtraction to 10000 TF 31-34 Day 4 Tune-in TF 299-300 Mental consolidation Revising subtraction of multiples of 100 from a three-digit number Day 5 Specific Starter for Addition and Subtraction to 10000 TF 31-34 2 Making the connection TF 293-294 Doubling multiples of 100 to 5000 + 5000 3 Adding to make the next multiple of 1000 TF 294-295 4 Mental addition involving fourdigit numbers TF 295-296 1 Subtracting multiples of 100 TF 300 3 Finding small differences between four-digit numbers TF 302 Pupil Activity TF 294 1 Pupil Sheet 65 Doubles of multiples of 100 Textbook page 75 TF 297 2 Subtracting a single digit from a four-digit number TF 301 Pupil Activity TF 300 1 Pupil Sheet 67 Subtracting a multiple of 100 Textbook pages 77-79 TF 303 Textbook page 76 TF 303 TF 295 1 Pupil Sheet 66 NHM Year 4 Framework Unit Planning Page 21 of 25 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 4 Summer Term Support Textbook page 74 TF 297 Provide similar questions where pupils add multiples of 100 within 1000. Extension Textbook page 74 TF 297 Provide pairs of pupils with a set of cards showing random three- and four-digit multiples of 100. Take it in turns to select two or three cards and find the total. Score a point for each correct answer. Adding to make a multiple of 1000 Provide questions where pupils double three-digit multiples of 10, e.g. 470. Provide questions where pupils add multiples of 10 or 100 to make multiples of 100 up to 1000, e.g. 300 + ___ = 1000, 130 + __ = 200. Pupil Activity TF 294 Provide cards with four-digit multiples of 10 and 100 on. Pupils select a card and double the number explaining their strategy to a partner. Textbook page 75 TF 297 Work with the pupils as a group deciding on the calculation required for each problem and the methods they could use to find the answer. Extension Textbook page E12 Provide questions to practise subtracting multiples of 10 less than 1000. E.g. 550 -80 Pupil Activity TF 300 1 Pupil Sheet 67 Subtracting a multiple of 100 Textbook pages 77-79 TF 303 Encourage pupils to use blank number lines and count on to find the difference. Extension Textbook pages TF 298 Textbook pages 77-79 TF 303 E13-E14 TF 307-308 Follow-up for Textbook page 75 TF 297 Follow-up for Textbook page 76 TF 304 Follow-up for Textbook pages 77-79 TF 304 TF 295 Plenary Follow-up for Textbook page 74 TF 297 1 Pupil Sheet 66 Adding to make a multiple of 1000 Discuss children’s work. Topic Assessment 9a, b Additional notes Extra Resources Review NHM Year 4 Framework Unit Planning Page 22 of 25 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 4 Summer Term Unit/ Days Framework topic Objectives: children will be taught to… NHM Topic NHM Section Measure Time: durations Time, including problems Use, read and write the vocabulary related to time. Estimate/check times using seconds, minutes, hours. Read the time from an analogue clock to the nearest minute, and from a 12-hour digital clock. Use am and pm and the notation 9:53. Read simple timetables. Data Handling Pictograms 13 5 days Solve a problem by collecting quickly, organising, representing and interpreting data in tables, charts, graphs and diagrams, including those generated by a computer, for example: pictograms - symbol representing 2, 5, 10 or 20 units. Handling data Teaching File page Pupil Sheets Textbook page 2-5, 34-36, 337-344, 428-431 77-80, 93 87-90, 121 Home Activities Check-ups MATERIALS Starter Main Teaching Core Activities Support Day 1 Tune-in TF 337-338 Consolidation Finding times 5, 10, 15,…55 minutes before/after given analogue and digital times 1 Five minute durations TF 338-339 Using analogue and digital displays, within the hour/bridging an hour Pupil Activities TF 339-340 1 Pupil Sheet 77 Minutes before/after (analogue) 2 Pupil Sheet 78 Minutes before/after (digital) 3 Pupil Sheet 79 Durations (analogue) 4 Pupil Sheet 80 Durations (digital) Pupil Activities TF 339-340 1 Pupil Sheet 77 Minutes before/after (analogue) 2 Pupil Sheet 78 Minutes before/after (digital) NHM Year 4 Framework Unit Planning Day 2 Specific Starter for Time TF 34-36 24 Day 3 Specific Starter for Time TF 34-36 Extension Textbook page E15, E22 Day 4 Generic Starter TF 2-5 Resource Sheets Day 5 Tune-in TF 428-429 Hot drinks Revising pictograms 2 Finding times 65, 70,… 115 minutes before/after TF 340-341 Using analogue and digital displays 3 Longer durations TF 341-342 In 65, 70, 75,… 115 minutes bridging an hour Consolidation of teaching from days 1-3 1 Sports TF 429-430 Pictograms with the symbol representing 5 units Pupil Activities TF 341 1 Pupil Sheet 77 Minutes before/after (analogue) 2 Pupil Sheet 78 Minutes before/after (digital) Pupil Activities TF 342 3 Pupil Sheet 79 Durations (analogue) 4 Pupil Sheet 80 Durations (digital) Textbook pages 87-90 TF 342-343 Textbook page 121 TF 431 Pupil Activities TF 339-340 3 Pupil Sheet 79 Durations (analogue) 4 Pupil Sheet 80 Durations (digital) Pupil Activities TF 341 1 Pupil Sheet 77 Minutes before/after (analogue) 2 Pupil Sheet 78 Minutes before/after (digital) Textbook pages 87-90 TF 342-343 Using a large analogue and digital clock face, work with the pupils selecting some questions from each page and use the clock to answer Page 23 of 25 Pupil Activity TF 430 1 Pupil Sheet 93 Pictograms, symbol representing 5 units Pupil Activity TF 430 1 Pupil Sheet 93 Pictograms, symbol representing 5 units Provide a similar sheet with fewer flowers on and ask pupils to Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 4 Summer Term them orally. Extension Plenary Pupil Activities TF 339-340 1 Pupil Sheet 77 Minutes before/after (analogue) 2 Pupil Sheet 78 Minutes before/after (digital) 3 Pupil Sheet 79 Durations (analogue) 4 Pupil Sheet 80 Durations (digital) Discuss children’s work. Pupil Activities TF 341 1 Pupil Sheet 77 Minutes before/after (analogue) 2 Pupil Sheet 78 Minutes before/after (digital) Pupil Activities TF 342 3 Pupil Sheet 79 Durations (analogue) 4 Pupil Sheet 80 Durations (digital) Discuss children’s work. Textbook pages 87-90 TF 342-343 Extension Textbook page E15 complete a tally chart and pictogram where one flowerpot represents 1 flower. Extension Textbook page E22 TF 431 TF 344 Check-up 24 Follow-up for Textbook pages 87-90 TF 343 Follow-up for Textbook page 121 TF 431 Follow-up for Textbook pages 87-90 TF 343 Additional notes Extra Resources Review NHM Year 4 Framework Unit Planning Page 24 of 25 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 4 Summer Term Unit 1 TB 9 TB 10 CU 3 TA 1ab Unit 2 TB 23 TB 24 EX 3 TA 2ab Unit 3 TB 34 TB 35 TB 36 TB 37 TA 3ab Unit 4 TB 101 TB 102 EX 20 Unit 5 TB 110 TB 111 Unit 6 TB 112 TB 113 TB 114 TB 115 TB 116 TB 117 Unit 8 TB 63 TB 64 HA 23 TB 65 CU 20 TB 66 HA 24 TA 6 Unit 9 TB 48 EX 4 TA 4ab Unit 10 TB 56 TB 57 TB 58 TB 59 TB 60 EX 5 EX 6 EX 7 TA 5ab Unit 11 EX 8 EX 9 TB 69 CU 22 EX 10 TA 7 Unit 12 TB 74 TB 75 EX 12 TB 76 TB 77 TB 78 TB 79 EX 13 EX 14 Unit 13 TB 87 TB 88 TB 89 TB 90 CU 24 EX 15 TB 121 EX 22 NHM Year 4 Framework Unit Planning Page 25 of 25 TA 9ab Downloaded from www.myprimary.co.uk